Exact Bayesian inference on discrete models via probability generating functions: a probabilistic programming approach

F Zaiser, A Murawski, CHL Ong - Advances in Neural …, 2024 - proceedings.neurips.cc
We present an exact Bayesian inference method for discrete statistical models, which can
find exact solutions to a large class of discrete inference problems, even with infinite support …

Exact Bayesian Inference for Loopy Probabilistic Programs using Generating Functions

L Klinkenberg, C Blumenthal, M Chen… - Proceedings of the …, 2024 - dl.acm.org
We present an exact Bayesian inference method for inferring posterior distributions encoded
by probabilistic programs featuring possibly unbounded loops. Our method is built on a …

Towards formal verification of Bayesian inference in probabilistic programming via guaranteed bounds

F Zaiser - 2024 - ora.ox.ac.uk
Probabilistic models are an indispensable tool in many scientific fields, from the social and
medical sciences to physics and machine learning. In probabilistic programming, such …

Learning in integer latent variable models with nested automatic differentiation

D Sheldon, K Winner, D Sujono - … Conference on Machine …, 2018 - proceedings.mlr.press
We develop nested automatic differentiation (AD) algorithms for exact inference and
learning in integer latent variable models. Recently, Winner, Sujono, and Sheldon showed …

Probabilistic Inference with Generating Functions for Population Dynamics of Unmarked Individuals

K Winner - 2020 - scholarworks.umass.edu
Modeling the interactions of different population dynamics (eg reproduction, migration)
within a population is a challenging problem that underlies numerous ecological research …

Probabilistic Inference with Generating Functions for Animal Populations

D Sheldon, K Winner, D Sujono - Artificial Intelligence and …, 2019 - cambridge.org
Estimating the size and demographic parameters of animal populations is key to effective
conservation. This is commonly done by using counts of animals made by human observers …